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Finding the Fourth Proportional to 254,564.70, 382,255.05 and 202,407.90

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Solution

The fourth proportional to 254,564.70, 382,255.05 and 202,407.90 is: 303,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,564.70 : 382,255.05 = 202,407.90 : x
  2. Step 2: Convert to fraction form
    254,564.70/382,255.05 = 202,407.90/x
  3. Step 3: Cross multiply
    254,564.70x = 382,255.05 × 202,407.90
  4. Step 4: Simplify right side
    254,564.70x = 77,371,441,934.90
  5. Step 5: Solve for x
    x = 77,371,441,934.90/254,564.70
  6. Step 6: Final answer
    x = 303,936.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.